Question

Loose one of the players with a free-throw percentage less than 75%. termine a number of free throws the player could attempt and make during a next 10 games to increase her free-throw percentage to at least 75%.

Answer 1

To increase her free-throw percentage to at least 75%, the player needs to make more free throws. We can determine the number of free throws she needs to attempt and make by setting up an equation. By trial and error, we find that if she attempts 4 free throws and makes at least 3 of them, her free-throw percentage will be at least 75%.

Step-by-step explanation:

To increase her free-throw percentage to at least 75%, the player needs to make more free throws. We can determine the number of free throws she needs to attempt and make by setting up an equation. Let's assume the player attempts 'x' free throws in the next 10 games and makes 'y' of them.

To increase her free-throw percentage, the number of successful free throws (y) should be greater than or equal to 75% of the total free throws attempted (x).

So, we have the inequality: y ≥ 0.75x.

Now, we need to find the minimum value of 'x' so that 'y' is greater than or equal to 75% of 'x'.

Since the player cannot attempt a fraction of a free throw, we need to find the smallest whole number that satisfies the inequality. By trial and error, we find that if she attempts 4 free throws and makes at least 3 of them, her free-throw percentage will be at least 75%.